16. You decide to drop a penny off the top of the Willis Tower (fromerly the Sears Tower) in Chicago, IL. The
height of the penny (in feet) can be represented by the equation h= -16t2 + 1451 where t is time (in seconds).
a) How long will it take for the penny to hit the ground? Show any work that leads to your answer.

Answers

Answer 1

Answer:

9.5 seconds.

Step-by-step explanation:

We know that the equation that represents the height of the penny as a function of time is:

h(t) = -16*t^2 + 1451

Where the height is in ft, and the time is in seconds.

a) We want to know how long takes the penny to hit the ground.

Well, the penny will hit the ground when its height is equal to zero.

Then we need to solve for t:

h(t) = 0 = -16*t^2 + 1451

0 = -16*t^2 + 1451

16*t^2 = 1451

t^2 = 1451/16 = 90.7

t = √90.7 = 9.5

This means that it takes 9.5 seconds to hit the ground.

Answer 2

Answer:9.5 seconds

Step-by-step explanation:you subtract


Related Questions

What is the greatest common factor of
12x3 + 6xy + 18x?

Answers

Answer:

6x

Step-by-step explanation:

12x^3, 6xy, and 18x can all be evenly divided by 6x

PLZ HELPPPPPPP AND EXPLAIN BC I HAVE NO CLUE HOW TO DO THIS

A.) 500
B.) 490
C.) 21
D.) 390

Answers

i had this but your numbers aren't the same i thought i could help you..

Please someone help me!! Look at picture. Also write as it expression.

Answers

Answer:hi there!that same guy did that w my question too :( i’m reporting his answers. i will help u out tho ahah. the answer is 470(32-n). i hope this helps :). have a good dayyy

Step-by-step explanation:

The revenue from a company’s factory in Scranton, PA is given by 2n2-15n+23, where n represents the number of paper goods produced in the factory. The cost in dollars of producing paper goods is given by n2+3n+23. Write and simplify a polynomial expression for the profit from making and selling n paper goods.

Answers

Answer:

The polynomial expression for the profit from making and selling 'n' paper goods, is;

n × (n - 18)

Step-by-step explanation:

The revenue, 'R', and the cost, 'C', from the company's Scranton, PA factory are as follows;

R = 2·n² - 15·n + 23

C = n² + 3·n + 23

The profit, 'P', is the revenue, 'R', in excess of the cost, 'C', therefore;

The profit, P = R - C

By substituting the polynomials representing 'R', and 'C', we have;

P = 2·n² - 15·n + 23 - (n² + 3·n + 23)

∴ P = 2·n² - n² - 15·n - 3·n + 23 - 23

P = n² - 18·n = n·(n - 18)

P = n·(n - 18)

The polynomial expression for the profit from making and selling 'n' paper goods, is P = n·(n - 18).

What is the volume of the figure?
6 cm
3 cm
8 cm
2 cm
A
3 X 2 X 6
B.
6 X 8 2
C.
8 * 2 * 3
D.
3 * 2 * 8 * 6

Answers

8 x 2 x 3 is the volume

Answer:

The given figure is a cuboid

it's volume = length × breadth × height

so the answer should be option (c) 8 × 2 ×3

Is (x+5)2 equivalent to 2x2+10x +10? Explain why or
why not?

Answers

Answer:

no

Step-by-step explanation:

no because its equal to 2x+10

BRAINLY TO WHOEVER HELPS AND GET IT RIGHT

~no links pls~

Answers

Answer:

4 yards saved

Step-by-step explanation:

two adjacent sides: 6 + 8 = 14

diagonal: √(6² + 8²) = √100 = 10

14 - 10 = 4

on for the hyperbola with write an equation for the hyperbola given characteristics.

4. foci (0, 6), (0, 4); length of transverse
axis 8 units

Answers

Answer:

Step-by-step explanation:


Describe the translation in each function as it relates to the graph of f(x) = x.
g(x)=x-5


Answers

Answer:

f(x) was translated to the left by 5 units to form g(x)

Step-by-step explanation:

Given the function f(x) = x to g(x)=x-5, if you look at the g(x) function, you will see that 5 was subtracted from the abscissa x that is;

g(x) = f(x) - 5

This shows' that the function f(x) was translated to the left by 5 units to form g(x). This described the required translation

Each letter in the word THEORETICAL is placed on a separate piece of paper and placed in a
hat. A letter is chosen at random from the hat. What are the odds against pulling a T?

Answers

Answer:

sorry men this is not the answer

Step-by-step explanation

please help

If 2500 square feet of grass supplies enough oxygen for a
family of four, how much grass is needed to supply oxygen for a family
of five?

Answers

Answer:

3125

Step-by-step explanation:

first, find the unit rate.

2500/4=625

625= amount of oxygen needed to supply a family of one(or just one single person)

625*5=3125

***with these problems, always try to find the unit rate first which is the amount of something per one unit. it'll be helpful to solve the questions following it.

write the equation of the circle graph below?????

Answers

Answer:

(x+2)^2 + (y+2)^2 = 0.75^2

Step-by-step explanation:

equation of a circle in standard form: (x-h)^2 + (y-k)^2 = r^2

center: (-2, -2)

radius: 0.75

equation of the circle in provided graph: (x+2)^2 + (y+2)^2 = 0.75^2

Find the zeros of the following quadratic functions.
3) x2 + 5x + 6 = 0

Answers

the zeros are x= -6 & x= 1

A group of students stood in a circle to play a game. The circle had a diameter of 22 meters. Which measurement is the closest to the circumference of the circle in meters?

Answers

Answer:

The closest measurement is 69 meters.

Step-by-step explanation:

We already know that 22 meters is the diameter and to find the circumference you need to multiply the diameter with π. We don't know π, so we are going with 3.14. When you multiply 22 and 3.14 together, you get 69.08 meters. You round the answer to the nearest meter, so it's 69 meters. So, the closest measurement is 69 meters.

Write an equation in point-slope form and slope-intercept form for each line
1. passes through (1, 9), slope = 2
2. passes through (4, -1), slope = -3

Answers

Answer:5.987

Step-by-step explanation:

Someone help I’ll give you Brainly plus 15 points

Answers

Add both angles=90 because of rectangle properties.
4x+7x+2=90
11x=88
X=8
DOT=7*8+2
=58

Two numbers sum to 312 and have a difference of 210. What are the two numbers?

Answers

Answer:

51 and 261

Step-by-step explanation:

Let the numbers be x and y

x + y =312

x - y =210

2y=102

y=51

x=312-51=261

Pls help this is sooOOOOOOO annoying!!
(07.06)Number line with closed circle on 9 and shading to the left.

Which of the following inequalities best represents the graph above?

a > 9
a < 9
a ≤ 9
a ≥ 9

Answers

Answer:

a ≤ 9

Step-by-step explanation:

Closed circle means ≤ or ≥

Shading to the left means left direction < or ≤

The inequality sign that has both is: ≤

a ≤ 9

Answer:

The answer is C

Step-by-step explanation:

I took the test and I got it right

A food truck sells tacos, burritos, and drinks.
Let event A = A customer buys a taco.
Let event B= A customer buys a drink.
What does P(A or B) = 0.45 mean in terms of this problem?

Answers

Answer:

b, the probability that a customer buys a taco, a drink, or both is 45%

P(A or B) = 0.45 means that there is a 45% probability that a customer will buy a taco or a drink from the food truck.

In terms of this problem, P(A or B) = 0.45 represents the probability that a customer buys either a taco (event A) or a drink (event B).

When we say "P(A or B)," it refers to the probability of either event A or event B occurring. In this case, it means the probability of a customer buying a taco or a drink from the food truck.

The value of 0.45 indicates the numerical probability associated with the event A or B. It represents the likelihood that a randomly selected customer from the food truck will purchase either a taco or a drink.

Therefore, P(A or B) = 0.45 means that there is a 45% probability that a customer will buy a taco or a drink from the food truck.

To know more about  "probability."  here

https://brainly.com/question/23417919

#SPJ2

What is a function

Answers

Answer:

In mathematics, a function is a binary relation between two sets that associates to each element of the first set exactly one element of the second set. Typical examples are functions from integers to integers, or from the real numbers to real numbers

Step-by-step explanation:

During the summer John collected cans to recycle. In August he collected 718 cans bringing his total to 2,275 cans. How many cans did John collect before August?

Answers

Answer: 1557 cans

Step-by-step explanation:

Since we are informed that John collected 718 cans in August bringing his total number of cans to 2,275 cans, the number of cans that John collected before August will be:

= Total number of cans collected - Number of cans collected in August

= 2275 - 718

= 1557 cans

Just need the answer thank you

Answers

Answer:

The multiplicative rate of change is 3/4

Step-by-step explanation:

Here, we want to get the multiplicative rate of change

In this case, by dividing the succeeding term by the preceding term, we will get the multiplicative rate of change

mathematically, we have this as;

81/128 divided 27/32

= 81/128 * 32/27

= 3/4

YALL I need your help! I need to turn this is asap

Answers

Answer:

$1.50

25% of 6 is 1.5

Answer: $1.50

Step-by-step explanation:

0.25x5.99= 1.4975 which would round to 1.5

b) A shopping center consists of two stores and two parking lots. In the diagram, w represents the width of Store B in meters. 25 13.5 Which expression for the area of the shopping center is written as the area of the stores plus the area of the parking lots? 38.5(w + 10) 10 Store A Parking Lot A 38.5w + 385 Store B Parking Lot B 25(w + 10) + 13.5(w + 10) (25 + 13.5)(10) + (25 + 13.5)w​

Answers

Answer:

Step-by-step explanation:

25(w+10) + 13.5(w +10)

Answer:

25(w+10)+13.5(w+10)

Step-by-step explanation:

hope it helps

A radius is
the diameter

Answers

Answer:

Radius is the diameter divided by 2

5. Find the circumference of a circle with a radius
of 15 feet.

Answers

Answer:

94.25 feet.

Step-by-step explanation:

Four times a first number decreased by a second number is 19. The first number increased by four times the second number is −8. Find the numbers.

Answers

Answer:

a = 4

b = -3

Step-by-step explanation:

Let a and b be the two numbers.

According to question,

4a - b = 19........(i)

And,

a + 4b = -8........(ii)

From (i),

4a - b = 19

or, b = 4a - 19

Replacing b in (ii),

a + 4(4a - 19) = -8

a + 16a - 76 = -8

17a = -8 + 76

17a = 68

a = 68/17

a = 4

And,

b = 4a - 19

= 4 x 4 - 19

= 16 - 19

= -3

In Canada, the rate of inflation (i.E. How much things cost) is about 2.0%/year. In other words, the real value of your money is worth 2.0% less each year. Imagine you have $2250 in savings under your mattress

Answers

Answer:

Step-by-step explanation:

If you have $2250 as against an inflation rate of 2% every year, this then means that after the first year, the value of your money becomes

2250 * 2% =

2250 * 0.02 = 45

2250 - 45 = $2205

At the end second year

$2205 * 2% =

$2205 * 0.02 = 44.1

$2205 - 44.1 = 2160.9

At end of the third year

$2160.9 - 2% =

$2160.9 * 0.02 = 43.218

$2117.682

And so on, and so forth

What is the Surface Area of the Triangular Prism below?

Answers

Answer:

c ) 2480 cm²

Step-by-step explanation:

Surface Area of a Triangular prism =

S = bh + lb + 2ls

b = 30cm

h = 8cm

s = 17 cm

l = 35cm

The surface area = 30cm × 8 cm + 35 × 30 cm + 2(35 × 17)

= 240 cm² + 1050 cm² + 1190 cm²

= 2480 cm²

Option c is the correct option

which of the following expressions are equivalent to -2/3? select all that apply


A. -1/9 x 6
B. -15 ÷ 10
C. 12 ÷ -18
D. -3/4 ÷ 1/2
E. -8/9 x 3/4

Answers

Answer:

A.

C.

E.

Step-by-step explanation:

A

-1/9×6=

-1/9×6/1= -6/9 = -2/3

B

-15 ÷ 10

-15/1 ÷ 10/1

-15/1 × 1/10 = -15/10 = -3/2

C

12 ÷ -18 =

12/1 ÷ -18/1 =

12/1 × -1/18 = -12/18 = -2/3

D

-3/4 ÷ 1/2 =

-3/4 × 2/1 = -6/4 = -3/2

E

-8/9 × 3/4 = -24/36 = -2/3

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